Topological equivalence of finitely determined real analytic plane-to-plane map germs

  • Olav Skutlaberg

Abstract

Generic smooth map germs $({\mathsf R}^2,0)\to ({\mathsf R}^2,0)$ are topologically equivalent to cones of mappings $S^1\to S^1$. We carry out a complete topological classification of smooth stable mappings of the circle and show how this classification leads, via the result mentioned above, to a topological classification of finitely determined real analytic map germs $({\mathsf R}^2,0)\to ({\mathsf R}^2,0)$.
Published
2011-12-01
How to Cite
Skutlaberg, O. (2011). Topological equivalence of finitely determined real analytic plane-to-plane map germs. MATHEMATICA SCANDINAVICA, 109(2), 161-184. https://doi.org/10.7146/math.scand.a-15183
Section
Articles